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Finding the Third Proportional to 48,945.20 and 77,882.13

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Solution

The third proportional to 48,945.20 and 77,882.13 is: 123,926.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,945.20 : 77,882.13 = 77,882.13 : x
  2. Step 2: Convert to fraction form
    48,945.20/77,882.13 = 77,882.13/x
  3. Step 3: Cross multiply
    48,945.20x = 77,882.13 × 77,882.13
  4. Step 4: Simplify right side
    48,945.20x = 6,065,626,611.42
  5. Step 5: Solve for x
    x = 6,065,626,611.42/48,945.20
  6. Step 6: Final answer
    x = 123,926.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.